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102. You, Hong; Liu, Shaowu: Linear operators preserving symplectic group over a field consisting of at least four elements. (English). - [J] Northeast. Math. J. 22, No. 2, 219-232 (2006). [ISSN 1000-1778]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, linearne transformacije, linearni ohranjevalci Published in RUP: 15.10.2013; Views: 2714; Downloads: 32 Link to full text |
103. Zhao, L.; Hou, J.: Jordan zero-product preserving additive maps on operator algebras. (English). - [J] J. Math. Anal. Appl. 314, No. 2, 689-700 (2006). [ISSN 0022-247X]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, teorija operatorjev, operatorske algebre, jordanski ničelni produkti, jordanski homomorfizmi Published in RUP: 15.10.2013; Views: 4061; Downloads: 35 Link to full text |
104. Norm preservers of Jordan productsBojan Kuzma, Gorazd Lešnjak, Chi-Kwong Li, Tatjana Petek, Leiba Rodman, 2011, original scientific article Abstract: V članku klasificiramo surjektivne preslikave, ki na algebri kompleksnih matrik ohranjajo Frobeniusovo normo Jordanskega produkta. Izkaže se, da so do unitarne podobnosti in množenja s skalarnim večkratnikom vse tovrstne preslikave le štirih možnih tipov: (i) preslikava, ki je lokalno adjungiranje na normalnih matrikah in identiteta izven normalnih matrik, (ii) transponiranje, (iii) kompleksna konjugacija in (iv) adjungiranje. Do podobnih zaključkov pridemo tudi v primeru nekaterih drugih unitarno invariantnih norm, kjer pokažemo, da preslikava bodisi normalne matrike množi s skalarji, bodisi jih adjungira in množi s skalarji. Keywords: matematika, linearna algebra, jordanski produkt, matrična norma, ohranjevalci Published in RUP: 15.10.2013; Views: 3263; Downloads: 228 Link to full text |
105. Zhang, Xian; Sze, Nung-Sing: Additive rank-one preservers between spaces of rectangular matrices. (English). - [J] Linear Multilinear Algebra 53, No. 6, 417-425 (2005). [ISSN 0308-1087; ISSN 1563-5139]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, prostor matrik, rank 1, aditivni ohranjevalec Published in RUP: 15.10.2013; Views: 3517; Downloads: 45 Link to full text |
106. Fosner, Ajda; Šemrl, Peter: Additive maps on matrix algebras preserving invertibility. (English). - [J] Acta Math. Sin., Engl. Ser. 21, No. 4, 681-684 (2005). [ISSN 1439-8516; ISSN 1439-7617]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, aditivna preslikava, ohranjevalec obrnljivosti, ohranjevalec singularnosti, matrična algebra Published in RUP: 15.10.2013; Views: 3649; Downloads: 40 Link to full text |
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108. Rank-permutable additive mappingsAnna A. Alieva, Aleksandr Èmilevič Guterman, Bojan Kuzma, 2006, original scientific article Abstract: Let ▫$\sigma$▫ be a fixed non-identical permutation on ▫$k$▫ elements. Additive bijections ▫$T$▫ on the matrix algebra ▫$M_n(\mathbb{F})$▫ over a field ▫$\mathbb{F}$▫ of characteristic zero, with the property that ▫$\rm{rk} (A_1...A_k) = \rm{rk} (A_{\sigma(1)}...A_{\sigma(k)})$▫ implies the same condition on the ▫$T$▫ images, are characterized. It is also shown that the surjectivity assumption can be relaxed, if this property is preserved in both directions. Keywords: mathematics, linearna algebra, matrix algebra, rank, permutation, additive preservers Published in RUP: 15.10.2013; Views: 3458; Downloads: 89 Link to full text |
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110. Chebotar, Mikhail A.; Fong, Yuen; Lee, Pjek-Hwee: On maps preserving zeros of the polynomial $xy - yx^ast$. (English). - [J] Linear Algebra Appl. 408, 230-243(2005). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, linearni ohranjevalci, funkcijske identitete, matrična algebra Published in RUP: 15.10.2013; Views: 3613; Downloads: 26 Link to full text |